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81306711760 = 2451795677843
BaseRepresentation
bin100101110111001000…
…0011111011011010000
321202212101220220112211
41023232100133123100
52313004004234020
6101203553001504
75605566434611
oct1135620373320
9252771826484
1081306711760
1131533578a5a
1213911553294
137889a7ca41
143d14525c08
1521ad08785a
hex12ee41f6d0

81306711760 has 40 divisors (see below), whose sum is σ = 190094217120. Its totient is φ = 32340988032.

The previous prime is 81306711749. The next prime is 81306711763. The reversal of 81306711760 is 6711760318.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×813067117602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81306711763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824602 + ... + 2853241.

It is an arithmetic number, because the mean of its divisors is an integer number (4752355428).

Almost surely, 281306711760 is an apocalyptic number.

81306711760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81306711760 is an abundant number, since it is smaller than the sum of its proper divisors (108787505360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81306711760 is a wasteful number, since it uses less digits than its factorization.

81306711760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678035 (or 5678029 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 81306711760 in words is "eighty-one billion, three hundred six million, seven hundred eleven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 5677843 11355686 22711372 28389215 45422744 56778430 90845488 113556860 227113720 454227440 1016333897 2032667794 4065335588 5081669485 8130671176 10163338970 16261342352 20326677940 40653355880 81306711760